Details

Time bar (total: 1.2s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
5.0ms
(+ x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ x (/ 1.0 3.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07755
120150
247550
3128250
4389350
5500250

prune23.0ms

Filtered
15 candidates to 11 candidates (26.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
5.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
5.0ms
(+ x (/ 1.0 3.0))
14.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series11.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0256585
1993536
25002520

prune124.0ms

Filtered
114 candidates to 62 candidates (45.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh011
Picked011
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3)))
0.7b
(pow (sqrt (+ x (/ 1.0 3.0))) 3)
5.2b
(cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
48×add-sqr-sqrt
39×sqrt-prod
38×*-un-lft-identity
25×unpow-prod-down cube-prod
23×associate-*r*
22×add-cube-cbrt
16×sqrt-div
14×unswap-sqr
10×cube-div
9×flip3-+ flip-+
8×pow1 cbrt-div distribute-lft-out
7×add-exp-log associate-*l*
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×frac-times
3×cube-mult pow-unpow pow-pow unpow3
2×associate-*r/ associate-*l/
1×+-commutative pow-to-exp sqrt-pow1 pow1/2 pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative sqrt-pow2 rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 142
Calls
4 calls:
5.0ms
(+ x (/ 1.0 3.0))
21.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3)))
7.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 3)
8.0ms
(cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3))

series21.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ x (/ 1.0 3.0))
5.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3)))
9.0ms
(pow (sqrt (+ x (/ 1.0 3.0))) 3)
4.0ms
(cbrt (pow (sqrt (+ x (/ 1.0 3.0))) 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04881194
11987948
25002888

prune177.0ms

Filtered
154 candidates to 76 candidates (50.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh011
Picked011
Done022
Total1544158

Merged error: 0b

Counts
158 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.7b
(log (exp (+ x (/ 1.0 3.0))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×exp-prod add-log-exp
6×add-sqr-sqrt add-cube-cbrt
5×log-pow
4×pow1 log-prod
3×add-exp-log add-cbrt-cube distribute-lft-out
2×exp-sum sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp flip-+
Counts
3 → 43
Calls
3 calls:
6.0ms
(exp (+ x (/ 1.0 3.0)))
5.0ms
(+ x (/ 1.0 3.0))
6.0ms
(log (exp (+ x (/ 1.0 3.0))))

series6.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(exp (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(log (exp (+ x (/ 1.0 3.0))))

simplify90.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0136194
1432172
21093170
33091170
45001170

prune56.0ms

Filtered
52 candidates to 34 candidates (34.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done033
Total52456

Merged error: 0b

Counts
56 → 4

regimes57.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample245.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid

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